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Exercise

$\left(x^2z\right)\left(3x^2y^3+z^4\right)$

Step-by-step Solution

1

Multiply the single term $x^2z$ by each term of the polynomial $\left(3x^2y^3+z^4\right)$

$3x^2y^3x^2z+z^4x^2z$
2

When multiplying exponents with same base we can add the exponents

$3x^{4}y^3z+z^4x^2z$
3

When multiplying exponents with same base you can add the exponents: $z^4x^2z$

$3x^{4}y^3z+z^{5}x^2$

Final answer to the exercise

$3x^{4}y^3z+z^{5}x^2$

Try other ways to solve this exercise

  • Choose an option
  • Product of Binomials with Common Term
  • FOIL Method
  • Find the integral
  • Find the derivative
  • Factor
  • Integrate by partial fractions
  • Integrate by substitution
  • Integrate by parts
  • Integrate using tabular integration
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$4\left(4a+5\right)$

$\left(5x+2y\right)\left(5x-2y\right)$

$\left(2x+6\right)^2$

$\left(x-6\right)\left(x-5\right)$

Main Topic: Special Products

Special products is the multiplication of algebraic expressions that follow certain rules and patterns, so you can predict the result without necessarily doing the multiplication.

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